Fractional-order poromechanics for a fully saturated biological tissue: Biomechanics of meniscus
- Authors: Amiri, Fabiana; Bologna, Emanuela; Nuzzo, Gianmarco; Moroni, Lorenzo; Zingales, Massimiliano
- Publication year: 2023
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/590651
Abstract
Biomechanics of biological fibrous tissues as the meniscus are strongly influenced by past histories of strains involving the so-called material hereditariness. In this paper, a three-axial model of linear hereditariness that makes use of fractional-order calculus is used to describe the constitutive behavior of the tissue. Fluid flow across meniscus' pores is modeled in this paper with Darcy relation yielding a novel model of fractional-order poromechanics, describing the evolution of the diffusion phenomenon in the meniscus. A numerical application involving an 1D confined compression test is reported to show the effect of the material hereditariness on the pressure drop evolution.